What is the Least Common Multiple of 92130 and 92142?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 92130 and 92142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92130 and 92142, than apply into the LCM equation.

GCF(92130,92142) = 6
LCM(92130,92142) = ( 92130 × 92142) / 6
LCM(92130,92142) = 8489042460 / 6
LCM(92130,92142) = 1414840410

Least Common Multiple (LCM) of 92130 and 92142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92130 and 92142. First we will calculate the prime factors of 92130 and 92142.

Prime Factorization of 92130

Prime Factorization of 92142

Now multiplying the highest exponent prime factors to calculate the LCM of 92130 and 92142.

LCM(92130,92142) = 2¹ × 3² × 5¹ × 37¹ × 83¹ × 5119¹
LCM(92130,92142) = 1414840410